61005611005060 has 24 divisors (see below), whose sum is σ = 128112009119640. Its totient is φ = 24402201352704.

The previous prime is 61005611005051. The next prime is 61005611005061. The reversal of 61005611005060 is 6050011650016.

It can be written as a sum of positive squares in 4 ways, for example, as 9944839759936 + 51060771245124 = 3153544^2 + 7145682^2 .

It is a super-3 number, since 3×61005611005060³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61005611005061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10509142 + ... + 15246418.

It is an arithmetic number, because the mean of its divisors is an integer number (5338000379985).

Almost surely, 2^{61005611005060} is an apocalyptic number.

It is an amenable number.

61005611005060 is an abundant number, since it is smaller than the sum of its proper divisors (67106398114580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61005611005060 is a wasteful number, since it uses less digits than its factorization.

61005611005060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5381175 (or 5381173 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 61005611005060 its reverse (6050011650016), we get a palindrome (67055622655076).

The spelling of 61005611005060 in words is "sixty-one trillion, five billion, six hundred eleven million, five thousand, sixty".